Relativistic Hydrodynamics and Dynamics of Accretion Disks Around Black Holes

Abstract

We give a brief overview of a formulation of the equations of general relativistic hydrodynamics, and one method for their numerical solution. The system of equations can be cast as first-order, hyperbolic system of conservation laws, following a explicit choice of an Eulerian observer and suitable vector of variables. We also present a brief overview of the numerical techniques used to solve this equation, providing an example of their applicability in one scenario of relativistic astrophysics namely, the quasi periodic oscillations of a thick accretion disk.